10XY-2X=0

Solution for 10XY-2X=0 equation:

Simplifying
10XY + -2X = 0

Reorder the terms:
-2X + 10XY = 0

Solving
-2X + 10XY = 0

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Factor out the Greatest Common Factor (GCF), '2X'.
2X(-1 + 5Y) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'X' equal to zero and attempt to solve:

Simplifying
X = 0

Solving
X = 0

Move all terms containing X to the left, all other terms to the right.

Simplifying
X = 0
Subproblem 2
Set the factor '(-1 + 5Y)' equal to zero and attempt to solve:

Simplifying
-1 + 5Y = 0

Solving
-1 + 5Y = 0

Move all terms containing X to the left, all other terms to the right.

Add '1' to each side of the equation.
-1 + 1 + 5Y = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 5Y = 0 + 1
5Y = 0 + 1

Combine like terms: 0 + 1 = 1
5Y = 1

Add '-5Y' to each side of the equation.
5Y + -5Y = 1 + -5Y

Combine like terms: 5Y + -5Y = 0
0 = 1 + -5Y

Simplifying
0 = 1 + -5Y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
X = {0}